2538615800 has 96 divisors (see below), whose sum is σ = 7038835200. Its totient is φ = 832529280.

The previous prime is 2538615773. The next prime is 2538615847. The reversal of 2538615800 is 85168352.

2538615800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7220 + ... + 71619.

It is an arithmetic number, because the mean of its divisors is an integer number (73321200).

Almost surely, 2^2538615800 is an apocalyptic number.

2538615800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538615800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519417600).

2538615800 is an abundant number, since it is smaller than the sum of its proper divisors (4500219400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2538615800 is a wasteful number, since it uses less digits than its factorization.

2538615800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78885 (or 78876 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 2538615800 is about 50384.6782266196. The cubic root of 2538615800 is about 1364.1610949987.

The spelling of 2538615800 in words is "two billion, five hundred thirty-eight million, six hundred fifteen thousand, eight hundred".